Question

find the area of a circle with a diameter of 2 cm.

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 2 \) cm, so \( r=\frac{d}{2}=\frac{2}{2} = 1 \) cm.

Step2: Calculate the area

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substituting \( r = 1 \) cm, we get \( A=\pi\times(1)^{2}=\pi \) \( \text{cm}^2 \) (or approximately \( 3.14 \) \( \text{cm}^2 \)).

Answer:

The area of the circle is \( \pi \) square centimeters (or approximately \( 3.14 \) square centimeters).